On April 1, 2008, Drewiske signed an entry-level contract with the Los Angeles Kings. He was then assigned to affiliate, the Manchester Monarchs of the American Hockey League for the end of the 2007–08 season. Drewiske started the 2008–09 season with the Monarchs before receiving his first call up to the Kings on February 2, 2009. Drewiske made his NHL debut in a 1-0 win against the Ottawa Senators on February 3, 2009. His first NHL goal was an empty net goal to seal a 6-4 win on October 6, 2009 against the San Jose Sharks.